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Mathematics 9 Online
saulguzman19:

A 152 cm tall barrel has a circumference of 56.52 cm. What is the volume of the barrel using the formula for the volume of a cylinder as an estimate? Round to the nearest hundredth of a cubic centimeter. Use 3.14 for the value of π. Note: V = πr2h.

jhonyy9:

given the length of circumference so you can calcule from this the radius - do you know formula of circumference ?

jhonyy9:

hi are you here ?

jhonyy9:

please collaborate - i like help you

jhonyy9:

@ThisGirlPretty

jhonyy9:

formula of circumference C= 2pi*r r is the length of radius

jhonyy9:

using this can you calcule the value of r ?

jhonyy9:

courage i m here to help you

jhonyy9:

hope you know pi=3,14 yes ?

jhonyy9:

using these above wrote details you can writing 56,52 = 2 * 3,14 * r 56,52 = 6,28 *r divide both sides by 6,28 r = 56,52/6,28 r = ?

jhonyy9:

get the value of pi given in the text of your exercise that the volume V=pi*r^2 *h so using these you can calcule easy the volume of barrel hope helped

jhonyy9:

@kittybasil please what is your opinion about above wrote ? and how you make to collaborate the asker ?

kittybasil:

uh... what?

kittybasil:

\[V=\pi r^{2}h=3.14\cdot r^{2}\cdot h\]the barrel height is 152 cm and the circumference is 56.52 cm

kittybasil:

I assume you should find the radius \(r\) from the circumference? @dude any thoughts cause I'm bad at this lol

dude:

Yeah

kittybasil:

Okay thanks

Shadow:

\[c = 2 \pi r\] \[c = 56.25\] \[56.25 = 2 \pi r\] \[r = \frac{ 56.25 }{ 2 \times \pi }\] Solve for r then input into formula for volume \[V = \pi r ^2\]

kittybasil:

shad they want \(\pi=3.14\) tho

Shadow:

Yeah they can do that c;

kittybasil:

\(\color{#0cbb34}{\text{Originally Posted by}}\) kittybasil \[V=\pi r^{2}h=3.14\cdot r^{2}\cdot h\]the barrel height is 152 cm and the circumference is 56.52 cm \(\color{#0cbb34}{\text{End of Quote}}\) Okay, so your radius \(r\) can be derived from the circumference via formula\[C=2\pi r\] with \(\pi=3.14\) \[C=56.52=2(3.14)r\]\[r=\frac{56.52}{2(3.14)}=9\]


Now we calculate volume from the radius we found:\[V=\pi r^{2}h=3.14(r^{2}h)\]\[V=3.14(9^{2}\cdot152)\approx38660\text{ cm}^{3}\]

kittybasil:

@saulguzman19 here is your solution ^

kittybasil:

He seems to be afk ?

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